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A gas is confined to a cylinder with a movable piston at one end. When the volume of

the cylinder is 450 cm the pressure of the gas is 211 kPa. When the volume is
increased to 760 cm', what is the pressure? Assume the temperature is constant and
round your answer to 1 digit past the decimal.

User Tratcher
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1 Answer

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Final answer:

The final pressure of the gas when the volume is increased to 760 cm³ while maintaining a constant temperature is approximately 124.9 kPa, according to Boyle's Law.

Step-by-step explanation:

The question involves applying Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is held constant. Given the initial volume of 450 cm3 with a pressure of 211 kPa, and the final volume of 760 cm3, we can find the final pressure using Boyle's Law:

P1 * V1 = P2 * V2
(211 kPa) * (450 cm3) = P2 * (760 cm3)
P2 = (211 kPa * 450 cm3) / (760 cm3)
P2 ≈ 124.9 kPa

The pressure when the volume is increased to 760 cm3 is approximately 124.9 kPa, rounded to one digit past the decimal.

User Omerkudat
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